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Coupled Galerkin and parameterization methods for optimal control of discretely connected parallel beams
- Source :
-
Applied Mathematical Modelling . Dec2010, Vol. 34 Issue 12, p3949-3957. 9p. - Publication Year :
- 2010
-
Abstract
- Abstract: Galerkin and wavelet methods for optimal boundary control of a couple of discretely connected parallel beams are proposed. First, the problem with boundary controls is converted into a problem with distributed controls. The problem is, then, reduced by a Galerkin-based approach into determining the optimal control of a linear time-invariant lumped parameter system, which will be solved by a wavelet-based method using Legendre wavelets. The integration-operational matrix and Kronecker product are utilized to significantly simplify the optimization problem into a system of linear equations. A numerical example is presented to demonstrate the applicability and the efficiency of the proposed method. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0307904X
- Volume :
- 34
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Applied Mathematical Modelling
- Publication Type :
- Academic Journal
- Accession number :
- 51864504
- Full Text :
- https://doi.org/10.1016/j.apm.2010.03.031